Harmonic mappings in Bergman spaces

DOI10.1007/s00605-012-0448-zzbMath1267.31002OpenAlexW2085523379MaRDI QIDQ1955626

Saminathan Ponnusamy, Xian Tao Wang, Shao Lin Chen

Publication date: 17 June 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-012-0448-z

zbMATH Keywords

harmonic Hardy spaceharmonic Bergman spaceharmonic mappingSchwarz-Pick lemmaLandau-Bloch theorem

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (9)

Several properties of \(\alpha \)-harmonic functions in the unit disk ⋮ ON THE HARMONIC ZYGMUND SPACES ⋮ Some properties of a class of elliptic partial differential operators ⋮ COEFFICIENT ESTIMATES, LANDAU’S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS ⋮ Radii of covering disks for locally univalent harmonic mappings ⋮ Operators and multipliers on weighted Bergman spaces ⋮ Characterizations of Bloch-type spaces of harmonic mappings ⋮ Schwarz lemmas for mappings satisfying Poisson's equation ⋮ Stable geometric properties of pluriharmonic and biholomorphic mappings, and Landau-Bloch's theorem

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